。。。。。。 |
真复杂。。 |
木有人吗。。。 |
% MathType!MTEF!2!1!+- % feaagGart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbWexLMBbXgBd9gzLbvyNv2CaeHbl7mZLdGeaGqiVu0Je9sqqr % pepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs % 0-yqaqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaai % aabeqaamaabaabauaakqaabeqaaiaamgdacaaJTaGaaWinaiaam6ca % caaJ+UOaamyyaiaacYcacaWGIbGaaiilaiaadogacqGH+aGpcaaIWa % GaaiilaiaamkeBcaaJbVOaaiOoaaqaaiaacIcacaaIXaGaey4kaSYa % aSaaaeaacaWGHbaabaGaamOyaaaacaGGPaGaaiikaiaaigdacqGHRa % WkdaWcaaqaaiaadkgaaeaacaWGJbaaaiaacMcacaGGOaGaaGymaiab % gUcaRmaalaaabaGaam4yaaqaaiaadggaaaGaaiykaiabgwMiZkaaik % dacaGGOaGaaGymaiabgUcaRmaalaaabaGaamyyaiabgUcaRiaadkga % cqGHRaWkcaWGJbaabaWaaOqaaeaacaWGHbGaamOyaiaadogaaSqaai % aaiodaaaaaaOGaaiykaiaac6caaeaadaWcaaqaaiaacIcacaaIXaGa % ey4kaSYaaSaaaeaacaWGHbaabaGaamOyaaaacaGGPaGaaiikaiaaig % dacqGHRaWkdaWcaaqaaiaadkgaaeaacaWGJbaaaiaacMcacaGGOaGa % aGymaiabgUcaRmaalaaabaGaam4yaaqaaiaadggaaaGaaiykaiabgk % HiTiaaikdaaeaacaaIYaaaaiabg2da9maalaaabaGaamyyaaqaaiaa % dkgaaaGaey4kaSYaaSaaaeaacaWGIbaabaGaam4yaaaacqGHRaWkda % WcaaqaaiaadogaaeaacaWGHbaaaiabgwMiZoaalaaabaGaamyyaiab % gUcaRiaadkgacqGHRaWkcaWGJbaabaWaaOqaaeaacaWGHbGaamOyai % aadogaaSqaaiaaiodaaaaaaaaaaa!8E49! \[\begin{array}{l} 1 - 4.a,b,c > 0,:\\ (1 + \frac{a}{b})(1 + \frac{b}{c})(1 + \frac{c}{a}) \ge 2(1 + \frac{{a + b + c}}{{\sqrt[3]{{abc}}}}).\\ \frac{{(1 + \frac{a}{b})(1 + \frac{b}{c})(1 + \frac{c}{a}) - 2}}{2} = \frac{a}{b} + \frac{b}{c} + \frac{c}{a} \ge \frac{{a + b + c}}{{\sqrt[3]{{abc}}}} \end{array}\] |
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